Search a number
-
+
348608853108 = 223317189874103
BaseRepresentation
bin1010001001010101011…
…01001111010001110100
31020022211011001121121000
411010222231033101310
521202422331244413
6424052041323300
734120565234265
oct5045255172164
91208734047530
10348608853108
1112493167807a
1257690496530
1326b485cc699
1412c30bc696c
159104d5c073
hex512ab4f474

348608853108 has 48 divisors (see below), whose sum is σ = 956965484160. Its totient is φ = 109367482752.

The previous prime is 348608853107. The next prime is 348608853119. The reversal of 348608853108 is 801358806843.

348608853108 is a `hidden beast` number, since 3 + 48 + 60 + 8 + 8 + 531 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348608853101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94935216 + ... + 94938887.

It is an arithmetic number, because the mean of its divisors is an integer number (19936780920).

Almost surely, 2348608853108 is an apocalyptic number.

It is an amenable number.

348608853108 is an abundant number, since it is smaller than the sum of its proper divisors (608356631052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

348608853108 is a wasteful number, since it uses less digits than its factorization.

348608853108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189874133 (or 189874125 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 348608853108 in words is "three hundred forty-eight billion, six hundred eight million, eight hundred fifty-three thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 189874103 379748206 569622309 759496412 1139244618 1708866927 2278489236 3227859751 3417733854 5126600781 6455719502 6835467708 9683579253 10253201562 12911439004 19367158506 20506403124 29050737759 38734317012 58101475518 87152213277 116202951036 174304426554 348608853108